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Simplifying 0.15(84) + 0.15x + 0.25(78) + 0.15(72) = 82 Multiply 0.15 * 84 12.6 + 0.15x + 0.25(78) + 0.15(72) = 82 Multiply 0.25 * 78 12.6 + 0.15x + 19.5 + 0.15(72) = 82 Multiply 0.15 * 72 12.6 + 0.15x + 19.5 + 10.8 = 82 Reorder the terms: 12.6 + 19.5 + 10.8 + 0.15x = 82 Combine like terms: 12.6 + 19.5 = 32.1 32.1 + 10.8 + 0.15x = 82 Combine like terms: 32.1 + 10.8 = 42.9 42.9 + 0.15x = 82 Solving 42.9 + 0.15x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42.9' to each side of the equation. 42.9 + -42.9 + 0.15x = 82 + -42.9 Combine like terms: 42.9 + -42.9 = 0.0 0.0 + 0.15x = 82 + -42.9 0.15x = 82 + -42.9 Combine like terms: 82 + -42.9 = 39.1 0.15x = 39.1 Divide each side by '0.15'. x = 260.6666667 Simplifying x = 260.6666667
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